What is Chaos theory? Chaos theory is the theory that describes systems that appear disordered, but also this theory is about finding underlying order in apparently random data. According to Wikipedia:
Chaos theory describes the behavior of certain nonlinear dynamical systems that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, the behavior of chaotic systems appears to be random.
Surpisingly, chaotic effects appear on systems that are deterministic, that means it appears on systems without random elements involved. According to another definition:
A chaotic system is one where the system’s variable quantities satisfy deterministic mathematical equations (i. e., present values may be calculated from past ones), while at the same time being highly irregular, but still contained within a finite region (the “strange attractor”).
Did you know that chaos can be represented using simple electronic circuits and appear on your oscilloscope’ s screen? A circuit that can differentiate a voltage is able to represent the differential equations describing a chaotic system thus appear “attractors” on your oscilloscope. On the site bellow you will find some simple chaos-generating electronic circuits that will “blow your scope”!!
Schematics representing Chaos theory - [Link]